4 papers
math.NA2026
Precision-induced Adaptive Randomized Low-Rank Approximation for SVD and Matrix Inversion
Weiwei Xu, Weijie Shen, Zhengjian Bai +1
Singular value decomposition (SVD) and matrix inversion are ubiquitous in scientific computing. Both tasks are computationally demanding for large scale matrices. Existing algorith…
math.OC2026
Progressive Power Homotopy for Non-convex Optimization
Chen Xu
We propose a novel first-order method for non-convex optimization of the form , termed Progressi…
q-bio.NC2025
ReBaCCA-ss: Relevance-Balanced Continuum Correlation Analysis with Smoothing and Surrogating for Quantifying Similarity Between Population Spiking Activities
Xiang Zhang, Chenlin Xu, Zhouxiao Lu +2
Quantifying similarity between population spike patterns is essential for understanding how neural dynamics encode information. Traditional approaches, which combine kernel smoothi…
math.OC2024
Global Optimization with A Power-Transformed Objective and Gaussian Smoothing
Chen Xu
We propose a novel method that solves global optimization problems in two steps: (1) perform a (exponential) power- transformation to the not-necessarily differentiable objectiv…